Need help with header.

My url is https://prettycoolgame.com/

The header as you can see is a bit messed up, I had an issue earlier with the post titles not working as links and now its the header, I was able to make the header clickable by adding that but now I can’t figure out how to do the obvious, put it in the right spot. I would also like to make it so the search bar is infront of the picture/header because right now it is hidden behind it.

All I switched in the settings was I put the header in header.php and changed a little in the default.css.

Thanks in advance for anyone that can help.